We present a recursive diagrammatic method for evaluating tree-level Feynman diagrams involving multi-fermions which interact through gauge bosons (gluons or photons). Based ...

A complete redesign of Mathematica's numerical differential equation solver NDSolve has been under development for a number of years. The aim is to provide a variety of ...

A program for seasonal adjustment of time series, implementing Schlicht's (1984) seasonal adjustment method. It decomposes a time series into a trend, a seasonal component, ...

In the present notebook three methods are used to solve a heat conduction problem. This problem is given in M. N. Özisik, Heat Conduction, Wiley, New York, 1980. We use ...

The paper deals with problems arising in the application of the computer algebra systems for the symbolic-numeric stability analysis of difference schemes and schemes of the ...

The present study shows how the direct Gibbs free energy minimization technique is sometimes superior to the reaction coordinates—equilibrium constants method when the ...

A mathematical and numerical study is presented for simulating temperature distribution in a two-dimensional tissue medium using Pennes bioheat transfer equation, when the ...

The transfer matrix method is used to investigate quantum mechanical tunneling in an introductory quantum mechanics course.

Left-invariant PDE-evolutions on the roto-translation group SE(2) (and their resolvent equations) have been widely studied in the fields of cortical modeling and image ...

A dynamical system is, in its most general form, described by a system of six coupled first order differential equations which cannot be solved rigorously. An approximate ...